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Interchain coupling in polyacetylene
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Danielsen, P. L. and Ball, Robin (1985) Interchain coupling in polyacetylene. Journal de Physique, Vol.46 (No.2). pp. 131-137. doi:10.1051/jphys:01985004602013100 ISSN 0302-0738.
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Official URL: http://dx.doi.org/10.1051/jphys:01985004602013100
Abstract
The interchain coupling between two polyacetylene chains is considered, both in the absence of solitons, and with one neutral soliton on each chain. A new correction to the size and position of the band gap is found in the former case, and when solitons are present it is shown that their mid-gap levels interact. In this case the differences between the matched (same dimerization pattern at ± ∞) and the mismatched cases (opposite pattern at ± ∞) are clearly illustrated. The mid-gap level splitting is found to be ΔE = t> l/ξ sinh l/ξ, in the matched case, and ˜ 0(e-kfξ) in the mismatched case (where l is the soliton separation, kf the Fermi wavevector, ξ the soliton width, and [1] kf ξ ˜ 10). This interaction increases the strength of the 3 D pinning of solitons, there-fore strengthening the case against the solitonic model for conduction in polyacetylene. It also predicts the existence of a critical density ρc ˜ 0.05 of solitons, at which the preferred local ordering between chains switches from mismatched to matched dimerization.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Polyacetylenes, Organic semiconductors, Solitons, Energy gap (Physics), Energy-band theory of solids | ||||
| Journal or Publication Title: | Journal de Physique | ||||
| Publisher: | Editions Physique | ||||
| ISSN: | 0302-0738 | ||||
| Official Date: | 1985 | ||||
| Dates: |
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| Volume: | Vol.46 | ||||
| Number: | No.2 | ||||
| Page Range: | pp. 131-137 | ||||
| DOI: | 10.1051/jphys:01985004602013100 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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